72 citations · 253 across the 16 of their papers we have counts for
4 papers · 1 filter
The greedy basis equals the theta basis
Man Wai Cheung, Mark Gross, Greg Muller +4
We prove the equality of two canonical bases of a rank 2 cluster algebra, the greedy basis of Lee-Li-Zelevinsky and the theta basis of Gross-Hacking-Keel-Kontsevich.
The existence of a maximal green sequence is not invariant under quiver mutation
Greg Muller
This note provides a quiver which does not admit a maximal green sequence, but which is mutation-equivalent to a quiver which does admit a maximal green sequence. The proof uses th…
Skein algebras and cluster algebras of marked surfaces
Greg Muller
This paper defines several algebras associated to an oriented surface with a finite set of marked points on the boundary. The first is the skein algebra , which is spa…
The Beilinson Equivalence for Differential Operators and Lie Algebroids
Greg Muller
Let D be the ring of differential operators on a smooth irreducible affine variety X over the complex numbers; or, more generally, the enveloping algebra of any locally free Lie al…